I knew I mistyped the thread, but after rereading the post I found it amusing as well... and I am lazy correcting posts. I further want to avoid the "edited" 10 seconds after posting part.
As mentioned before:
One racial ability is called "gives X% to ability Y" and the other is "reduces ability Y of X%". Both are part of a multiplication chain.
If you got a racial science bonus of 25%, a goverment bonus of 15% and a leader bonus of 15% you get your research capacity with 1 x 1,25 x 1,15 x 1,15 = 1,65. Therefore you get 165% of the basic value.
In contrast a decrease in war weariness by 45% through the race and 20% through a resource needs to be multiplied as a smaller part of one.
45% less of 1 is 0,45, therefore 1 - 0,45 = 0,55. 0,55 is your first multiplicator. The second one would be 0,8.
Your total war weariness will be 1 x 0,55 x 0,8 = 0,44. You got 44% war weariness of your basic value.
Though the reduction got 45% and 20% summing to 65%, the smaller positives 25%, 15% and 15% in total 55%, are bigger. They reach 65% bonus, the decline only 56% less.
The source of this is the fact, that the multiplication target grows or shrinks.
1 x 1,25 = 1,25
1,25 x 1,15 = 1,4375
1 x 0,55 = 0,55
0,55 x 0,8 = 0,44
The easiest point of view would be a cake and a bank account.
The gain got interest. If you gain more money through interest, this interest will be increased together with the old basic amount. A quick growth follows.
A cake of 1 m2 cut in half gives you 0,5 m2. If you cut it in half again it is not lost, but now only 0,25 m2. The reduction of the total amount shrinks as the target shrinks too. Stealing half of Bill Gates money is a difference to stealing half of Eriks money...
One Thread To Guide Them All
"Nothing incorporeal wields such power as a word. Though it is the weapon of the smart and cunning it alas needs the same to prevail."